1. Chapter 4
Prepared By
Norisah Mustaffa
(COPYRIGHT RESERVED)
B
A
4.1 Pie Chart
4.2 Mode, Median and Mean
2/10/2014
80º
42
156º
C
1

2. 4.2 MODE, MEDIAN AND MEAN
Mod, median and mean are three types of averages
commonly used in statistics. These averages are also
called the measures of central tendency.
MODE
A Determining The Mode For A Set Of Data
Mode is the most common fact or value with the highest
frequency in a set of data.
Example 1:
Find the mode for the numbers : 6, 3, 5, 6, 3, 8, 2, 6 and 9
Solution:
Mode = 6, frequency = 3
The number 6 occurs thrice. All the other numbers occur not
more then thrice. 6 is the highest frequency.
2/10/2014
2

3. MODE
A Determining The Mode For A Set Of Data
Mode is the most common fact or value with the highest
frequency in a set of data.
Example 2:
Find the mode(s) for the numbers :
3, 5, 0, 9, 1, 2 and 4.
Solution:
Mode = No mode
Each number appears only once. Every number has the same
frequency.
2/10/2014
3

4. MODE
B Determining The Mode And Its Corresponding Frequency
From Pictograms, Bar Charts, Line Graphs And Pie Charts
The Mode and its corresponding frequency in a set of data can be
obtained from pictograms, bar charts, line graphs and pie charts.
Number of Students
120

100
Solution:
Mode is Gred C
80
Frequency of mode
= 120 students
60
40
20
0
2/10/2014
A
B
C
D
Gred
4

5. MEDIAN
C Determining The Median For A Set Of Data
Median is the middle value in a set of values arranged in order of
magnitude.
1, 3, 5, 7, 9, 11…..
For an odd number of values arranged in order of magnitude, the
median is the middle value.
Example: Find the median of the following data.
2, 5, 0, 7, 3, 1, 6,
7.
Solution: Rearrange the data in asscending order.
3 is the middle, Hence, the median is 3
2/10/2014
5

6. MEDIAN
C Determining The Median For A Set Of Data
Median is the middle value in a set of values arranged in order of
2, 4, 6, 8, 10…..
magnitude.
For an even number of values arranged in order of magnitude, the
median is the mean of the two middle values.
Example: Find the median of the following data.
15, 10, 9, 13, 26, 18,
Solution: Rearrange the data in asscending order.
13 and 15 are the two middle values,
Hence, the median is (13 + 15) 2
= 28 2
= 14
2/10/2014
6

7. MEAN
E
Calculating The Mean For A Set Of Data
1. Method to calculate the mean for a set of data.
Mean is the average value for a set of data.
Mean = Sum of data values
Number of values
Example: Find the mean of the following data.
12, 24, 23, 24, 17, 20.
Mean = 12 + 24 + 23 + 24 + 17 + 20
6
= 120
6
= 20
2/10/2014
7

8. Thank You
If at first you don't succeed ... transform your data set.
2/10/2014
8